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LCM of 730, 906, 832, 269

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 730, 906, 832, 269 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 730, 906, 832, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,906,832,269

Given numbers are 730,906,832,269

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 730,906,832,269 is 37005533760.

Find LCM of 730,906,832,269 with Prime Factorization


2 730, 906, 832, 269
365, 453, 416, 269

Multiply the prime numbers at the bottom and the left side.

2 x 365 x 453 x 416 x 269 = 37005533760

Therefore, the lowest common multiple of 730,906,832,269 is 37005533760.

LCM Formula to Find Lowest Common Multiple of 730,906,832,269

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

730 x 906 x 832 x 269 = 148022135040

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

730 : 1, 2, 5, 10, 73, 146, 365, 730

906 : 1, 2, 3, 6, 151, 302, 453, 906

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,906,832,269, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

906:2x 3x 151

832:2x 2x 2x 2x 2x 2x 13

269:269

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 148022135040/(1x4)

LCM = 148022135040/4

LCM = 37005533760

Thus, we can understand that the LCM of 730,906,832,269 is 37005533760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 906, 832, 269

1. What is the LCM of 730, 906, 832, 269?

Answer: LCM of 730, 906, 832, 269 is 37005533760.

2. How to calculate the LCM of 730, 906, 832, 269?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 730, 906, 832, 269.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.